to achieve (what one has been aiming for); to accomplish (an objective)
formal to reach (a place)
formal to reach (e.g. a certain age)
(often + to) to come or arrive by motion, growth, or effort
till he hath attained to a state of freedom — John Locke
attainability /-ʹbiliti/ noun
attainable adj
attainableness noun
[Middle English atteynen via Old French ataindre, ultimately from Latin attangere, from at- + tangere to touch]